论文标题
细胞自动机的仪表不变
Gauge-invariance in cellular automata
论文作者
论文摘要
量规不变是物理学中的一个基本概念 - 已知为基本力量提供数学上的理由。在本文中，我们直接根据细胞自动机提供了与主量规理论概念的离散对应物。更确切地说，仪表不变性和细胞自动机的规等值的概念是正式的。开发了一个逐步测量程序，以在给定的细胞自动机上强制执行这种对称性，并检查了量规不变的细胞自动机的三个示例。
Gauge-invariance is a fundamental concept in Physics -- known to provide mathematical justification for the fundamental forces. In this paper, we provide discrete counterparts to the main gauge theoretical concepts directly in terms of Cellular Automata. More precisely, the notions of gauge-invariance and gauge-equivalence in Cellular Automata are formalized. A step-by-step gauging procedure to enforce this symmetry upon a given Cellular Automaton is developed, and three examples of gauge-invariant Cellular Automata are examined.
